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Finding the Fourth Proportional to 286,193.80, 428,945.10 and 145,880.20

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Solution

The fourth proportional to 286,193.80, 428,945.10 and 145,880.20 is: 218,644.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,193.80 : 428,945.10 = 145,880.20 : x
  2. Step 2: Convert to fraction form
    286,193.80/428,945.10 = 145,880.20/x
  3. Step 3: Cross multiply
    286,193.80x = 428,945.10 × 145,880.20
  4. Step 4: Simplify right side
    286,193.80x = 62,574,596,977.02
  5. Step 5: Solve for x
    x = 62,574,596,977.02/286,193.80
  6. Step 6: Final answer
    x = 218,644.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.